The NBA’s Board of Governors will vote on a proposed change to the draft lottery Wednesday that could have a beneficial effect on the Knicks and other big-market clubs.

The most extreme — and most unlikely — potential reform would have all 14 non-playoff teams with an equal chance of nabbing the No. 1 pick. Another proposal discussed is having clubs eight through 14 get the same odds of victory or moving up into the lottery’s top three.

According to a source, the leading scenario for reform is having the lottery award six slots instead of three. Currently, the 14th-worst team can move into the top three or remain in its slot. If the reform passes, that 14th team could move up anywhere inside the top six.

Currently, the team with the worst record has a 25 percent chance of landing the No. 1 pick. The team with the fifth-worst record still has an 8.8 percent chance of winning it.

Opponents of lottery reform aimed at balancing the odds as soon as next June’s draft say it unfairly favors big-market clubs who normally have hefty-enough payrolls to avoid finishing among the teams with the league’s bottom three records.

“Big-market teams have more money and can always spend the mid-level and get between the cap and luxury tax,’’ one league executive told The Post. “They will spend extra for a free agent who could be their ninth player in a rotation. The chance of the Knicks or big-revenue teams being the worst team is remote. They spend too much.’’

The Knicks, who still own their 2015 first-round pick, could benefit greatly immediately if the reform goes into effect for the next draft, which is the big debate. A majority of pundits are picking the Knicks to miss the playoffs but likely be decent enough to be seeded in the 10-to-14 range of the lottery.

There’s another argument on reform hurting small-market clubs: It’s unlikely for big-market teams to go into full tank mode and finish in the bottom three because of their high ticket prices. The Nets don’t have a first-round pick this season, so they would not be affected if the rule goes into place for the 2015 draft.

Though the Knicks shot just 37 percent against Milwaukee on Monday, coach Derek Fisher was encouraged about the team’s “willingness to share the basketball.’’ Fisher said the team “shot the ball poorly’’ but liked that of the 35 field goals, 26 came off of assists. “A lot of people questioned their ability to do that and willingness to be unselfish,’’ Fisher said.